11 citations · 31 across the 10 of their papers we have counts for
11 papers
Isogeometric multi-patch preconditioner for time-dependent electromagnetic problems
Bernard Kapidani, Gabriele Loli, Giancarlo Sangalli +2
We build upon recent developments in high-order spline-based geometric methods for the three-dimensional initial boundary value problem of Maxwell's equations. Previous schemes wer…
A higher-order dual cell method for time-domain Maxwell equations
Lorenzo Codecasa, Bernard Kapidani, Joachim Schöberl +1
We present a higher-order extension of the dual cell method for the time-domain Maxwell equations in three spatial dimensions. The approach builds upon a variational reinterpretati…
Tree-Cotree-Based Tearing and Interconnecting for 3D Magnetostatics: A Dual-Primal Approach
Mario Mally, Bernard Kapidani, Melina Merkel +2
The simulation of electromagnetic devices with complex geometries and large-scale discrete systems benefits from advanced computational methods like IsoGeometric Analysis and Domai…
Mass lumping the dual cell method to arbitrary polynomial degree for acoustic and electromagnetic waves
Markus Wess, Bernard Kapidani, Lorenzo Codecasa +1
We present a fundamental improvement of a high polynomial degree time domain cell method recently introduced by the last three authors. The published work introduced a method featu…
Arbitrary order spline representation of cohomology generators for isogeometric analysis of eddy current problems
Bernard Kapidani, Melina Merkel, Sebastian Schöps +1
The eddy current problem has many relevant practical applications in science, ranging from non-destructive testing to magnetic confinement of plasma in fusion reactors. It arises w…
High order geometric methods with splines: an analysis of discrete Hodge--star operators
Bernard Kapidani, Rafael Vázquez
A new kind of spline geometric method approach is presented. Its main ingredient is the use of well established spline spaces forming a discrete de Rham complex to construct a prim…
Torque Computation with the Isogeometric Mortar Method for the Simulation of Electric Machines
Melina Merkel, Bernard Kapidani, Sebastian Schöps +1
In this work isogeometric mortaring is used for the simulation of a six pole permanent magnet synchronous machine. Isogeometric mortaring is especially well suited for the efficien…
Tree-Cotree Decomposition of Isogeometric Mortared Spaces in H(curl) on Multi-Patch Domains
Bernard Kapidani, Melina Merkel, Sebastian Schöps +1
When applying isogeometric analysis to engineering problems, one often deals with multi-patch spline spaces that have incompatible discretisations, e.g. in the case of moving objec…
A matrix-free Discontinuous Galerkin method for the time dependent Maxwell equations in unbounded domains
Bernard Kapidani, Joachim Schöberl
A Discontinuous Galerkin (DG) Finite Element Method (FEM) approach for the 3D time dependent Maxwell equations in unbounded domains is presented. The method (implemented in the FEM…
An arbitrary-order Cell Method with block-diagonal mass-matrices for the time-dependent 2D Maxwell equations
Bernard Kapidani, Lorenzo Codecasa, Joachim Schöberl
We introduce a new numerical method for the time-dependent Maxwell equations on unstructured meshes in two space dimensions. This relies on the introduction of a new mesh, which is…
- formulation with higher order hierarchical basis functions for non simply connected conductors
Ahmed Khebir, Paweł Dłotko, Bernard Kapidani +2
This paper extends the - formulation for eddy currents based on higher order hierarchical basis functions so that it can deal with conductors of arbitrary topology. To this a…